38 citations · 225 across the 38 of their papers we have counts for
39 papers
Homogeneity of magnetic geodesics in the Heisenberg group
Jun-ichi Inoguchi, Marian Ioan Munteanu
We prove that magnetic geodesics in the -dimensional Heisenberg group derived from the canonical contact structure are homogeneous.
Homogeneous structures of -dimensional Lie groups
Jun-ichi Inoguchi, Yu Ohno
We give a classification of homogeneous Riemannian structures on (non locally symmetric) -dimensional Lie groups equipped with left invariant Riemannian metrics. This work toget…
Homogeneous statistical manifolds
Jun-ichi Inoguchi, Yu Ohno
The methods of Information geometry have been glowing up to develop various subjects of theoretical physics, including quantum information systems. The present article has two purp…
Homogeneous structures of -dimensional Sasakian space forms
Jun-ichi Inoguchi, Yu Ohno
We give explicit parametrizations for all the homogeneous contact Riemannian structures on -dimensional Sasakian space forms.
Homogeneity of magnetic trajectories in the Berger sphere
Jun-ichi Inoguchi, Marian Ioan Munteanu
We study the homogeneity of contact magnetic trajectories in naturally reductive Berger spheres. We prove that every contact magnetic trajectory is a product of a homogeneous geode…
A classification of constant Gaussian curvature surfaces in the three-dimensional hyperbolic space
Junichi Inoguchi, Shimpei Kobayashi
We classify weakly complete constant Gaussian curvature surfaces in the hyperbolic three-space in terms of holomorphic quadratic differentials. For this purpose, we first…